2,744
2,744 is a composite number, even.
2,744 (two thousand seven hundred forty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7³. Its proper divisors sum to 3,256, more than the number itself, making it an abundant number. It is a perfect cube (14³). Written other ways, in Roman numerals it is MMDCCXLIV and in binary, 101010111000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 17
- Digit product
- 224
- Digital root
- 8
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,472
- Recamán's sequence
- a(2,767) = 2,744
- Square (n²)
- 7,529,536
- Cube (n³)
- 20,661,046,784
- Cube root (∛n)
- 14
- Divisor count
- 16
- σ(n) — sum of divisors
- 6,000
- φ(n) — Euler's totient
- 1,176
- Sum of prime factors
- 27
Primality
Prime factorization: 2 3 × 7 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,744 = [52; (2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 4, 1, 1, 12, 1, 1, 4, 1, 2, 1, 1, 3, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- two thousand seven hundred forty-four
- Ordinal
- 2744th
- Roman numeral
- MMDCCXLIV
- Binary
- 101010111000
- Octal
- 5270
- Hexadecimal
- 0xAB8
- Base64
- Crg=
- One's complement
- 62,791 (16-bit)
- Scientific notation
- 2.744 × 10³
- As a duration
- 2,744 s = 45 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βψμδʹ
- Mayan (base 20)
- 𝋦·𝋱·𝋤
- Chinese
- 二千七百四十四
- Chinese (financial)
- 貳仟柒佰肆拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,744 = 4
- e — Euler's number (e)
- Digit 2,744 = 7
- φ — Golden ratio (φ)
- Digit 2,744 = 7
- √2 — Pythagoras's (√2)
- Digit 2,744 = 9
- ln 2 — Natural log of 2
- Digit 2,744 = 8
- γ — Euler-Mascheroni (γ)
- Digit 2,744 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2744, here are decompositions:
- 3 + 2741 = 2744
- 13 + 2731 = 2744
- 31 + 2713 = 2744
- 37 + 2707 = 2744
- 61 + 2683 = 2744
- 67 + 2677 = 2744
- 73 + 2671 = 2744
- 97 + 2647 = 2744
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 AA B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.184.
- Address
- 0.0.10.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.10.184
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,744 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -31¢)
- Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +6¢)
- Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -30¢)
The digit sequence 2744 first appears in π at position 38,278 of the decimal expansion (the 38,278ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.